Reminder: Complex Geometry Seminar by Helge Ruddat - Thursday 04 December

[Jacopo Stoppa]

Tomorrow at 2:30 pm * at IGAP *.
Best,
Jacopo

________________________________
Da: Jacopo Stoppa <jstoppa at sissa.it>
Inviato: giovedì 27 novembre 2025 10:07
A: math-users <math-users at lists.sissa.it>; Mailing list seminari Math Trieste <science-ts at lists.ictp.it>
Oggetto: Complex Geometry Seminar by Helge Ruddat - Thursday 04 December

On Thursday, 4 December at 2:30 pm in room 205 * at IGAP *, Helge Ruddat (Stavanger) will give the seminar

"Lagrangian fibrations on Calabi-Yau hypersurfaces"

Abstract: In joint work with Mak-Matessi-Zharkov, we prove the
existence of Lagrangian torus fibrations on compact Calabi-Yau
hypersurfaces in toric Fano manifolds given by a reflexive polytope.
All singular fibers are half-dimensional, the discriminant in the base
as well as the critical set are of real codimension two respectively
and the fibration is smooth away from the discriminant. Consequently,
the Arnold-Liouville-theorem identifies the smooth part with the
cotangent bundle quotient of the base affine structure. The result is
motivated by the Strominger-Yau-Zaslow conjecture which predicts the
existence of these fibrations on Calabi-Yau manifolds near large
complex structure limits such that mirror symmetry becomes T-duality.
In this talk I will explain the main ideas that we have come up with
over the years which solve the various hard problems that left the
conjecture unsolved for several decades.

Best,
Jacopo